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# Integral is commonly used in the derivation of error probability

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Evaluate int_{0}^{infty}exp(-Ab^2)p(b)db, where b is a Rician random variable with the probability density function p(b)=2b(1+K)exp(-K-b^2(1+K))I_0(2bsqrt(K(1+K))), b>=0, p(b) = 0, b<0, where K is a constant and I_0(.) is the zero-order modified Bessel function of the first kind.

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The integral which is commonly used in the derivatives of error probability.

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The solution exploits the transformation of probability density function and the series representation of the zero-order modified Bessel function of the first kind and exponential function.

Problem: The following integral ...

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